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Finding the Fourth Proportional to 6,276.33, 9,416.01 and 1,893.52

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Solution

The fourth proportional to 6,276.33, 9,416.01 and 1,893.52 is: 2,840.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.33 : 9,416.01 = 1,893.52 : x
  2. Step 2: Convert to fraction form
    6,276.33/9,416.01 = 1,893.52/x
  3. Step 3: Cross multiply
    6,276.33x = 9,416.01 × 1,893.52
  4. Step 4: Simplify right side
    6,276.33x = 17,829,422.13
  5. Step 5: Solve for x
    x = 17,829,422.13/6,276.33
  6. Step 6: Final answer
    x = 2,840.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.